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The zeroth order optimal L∞ approximation of unstable linear time invariant systems is studied in this paper. A suboptimal computational scheme, based on balanced realization for unstable systems, is developed, and corresponding error bound is obtained. Also, an L∞ error bound for unstable systems is derived.
In this paper the L∞ norm approximation of a given stable, proper, rational transfer function by another lower order rational function with prescribed number of stable and unstable modes is studied. The approach is based on author's results on imbedding of the Hankel singular values and new results on allpass systems.
A direct state-space solution to the discrete-time Hankel norm model reduction problem, based on recently developed results by the authors for the one-block H?? problem, is derived. A complete characterization of all solutions to the suboptimal Hankel norm model reduction problem is given.
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